The number 53790
53790 is a composite number with 32 divisors. Its prime factorisation is 2 × 3 × 5 × 11 × 163. Divisors (32): 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 163, 165 … 53790.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
53790 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
53790 is composite. Its prime factorisation is
- 3
The divisors add up to 141696; without 53790 itself that is 87906, so 53790 is abundant (87906 is more than 53790). Euler's totient φ(53790) = 12960 numbers up to 53790 share no factor with it.
- 4
The digits of 53790 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 215 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53790 = 2 \times 3 \times 5 \times 11 \times 163 \]
53790 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 141696 |
| Euler totient φ(n) | 12960 |
| Square | 2893364100 |
| Cube | 155634054939000 |
| Square root | 231.926713 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 215 |
| Scientific notation | 5.379 × |
53790 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand seven hundred and ninety |
| Binary (base 2) | 1101001000011110 |
| Octal (base 8) | 151036 |
| Hexadecimal (base 16) | D21E |
| Base 3 | 2201210020 |
| As time | 53790 seconds = 14 h 56 min 30 s |
Is 53790 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (53790 ÷ 2 = 26895) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (53790 ÷ 3 = 17930) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (53790 ÷ 5 = 10758) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (53790 ÷ 6 = 8965) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (53790 ÷ 10 = 5379) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (53790 ÷ 11 = 4890) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 53790 a prime number?
No. 53790 = 2 × 3 × 5 × 11 × 163, so it is divisible by 2.
What are the factors of 53790?
1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 163, 165, 326, 330, 489, 815, 978, 1630, 1793, 2445, 3586, 4890, 5379, 8965, 10758, 17930, 26895, 53790.
What is 53790 in binary?
1101001000011110 (hexadecimal D21E, octal 151036).
What is the square root of 53790?
About 231.9267.
Is 53790 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 53790?
It is a composite number with 32 divisors.